UNIT 6: COMPLEX NUMBERS

LESSON– 02/05/16 GROWTH VS. FIXED MINDSETS OBJECTIVE: SWBAT IDENTIFY YOUR TYPE OF MINDSET AND ANALYZE YOUR DAILY STUDENT HABITS

Reflect… 1. Describe your most ideal learning environment. No limit on length, minimum 3 sentences. 2. Which are you more concerned about: Good Grades or Understanding the Material? Briefly explain. 3. Think about something you have learned in the past that was difficult. How did you respond? Do you remember how to do that thing? Write a tweet (no more than 140 characters) describing the experience.

How do you learn?

How do YOU learn? Take the assessment on this link (in your from me sent Thursday morning). READ your results and WRITE a 3 sentence summary of your results. Do not share them until we all finish. You have 10 minutes.

Fixed Mindset vs. Growth Mindset Views on…Fixed Mindset (Performance Based) Growth Mindset (Mastery Based) IntelligenceIntelligence is just something you have or you don’t. You cannot gain or lose intelligence. Intelligence can be developed. You can GROW your intelligence. DesireDesire to “look smart”Desire to “learn the material” and understand Challenges Obstacles Effort Criticism Success of Other People Avoids challenges Embrace challenges Give up easily Persist in the face of setbacks Fruitless or worthless The path to Mastery Ignore negative feedback, threatens how viewed by others Opportunity to learn and grow from negative feedback Feel Threatened Find lessons and inspiration from others

A thought for the rest of your life…

Homework due Monday, Feb. 8th Periods 1/3 (HONORS): 1. Finish worksheet 6.3 (ALL problems) 2. READ pages and fill out note-taking guide for Complex Numbers Periods 2/4/6: Complete Worksheet 6.1 (ALL problems) using Algebraic properties of combining like terms, distributive property, and exponents. Persevere in the face of a challenging problem!

LESSON 1 DAY 1 – 02/08/16 COMPLEX NUMBERS OBJECTIVE: SWBAT SIMPLIFY COMPLEX NUMBER OPERATIONS

Warmup – Solve!

Reflect – based on the number line activiity from in-class 1. Think…. How can you use mathematical language to describe the movements the lines made for: a. Adding/Subtracting b. Multiplying by a positive factor c. Multiplying by a negative number d. Using two steps to multiply by a negative number (Think back to what you learned about transforming objects in Geometry and about our Transformations of Graphs of Functions earlier this year!) 2. Discuss… Your results with those at your table. 3. Share!

Complex Numbers

Simplifying Complex Numbers

Try some on your own!

Homework - Complete Worksheet 6.2 (due Tuesday but checked Friday) – All problems - Quiz on Thursday on Complex Number Operations (Add, Subtract, Multiply – worksheet 6.1) and simple Quadratic equations (worksheet 6.2)

LESSON 1 DAY 2 – 02/09/16 COMPLEX NUMBERS OBJECTIVE: SWBAT SIMPLIFY COMPLEX NUMBER OPERATIONS

Warmup

Exploration: Powers of Imaginary Numbers

Try some on your own!

When are these numbers useful?

Types and Number of Solutions to Quadratic Equations

Keep Practicing! – Exit Ticket Complete worksheet 6.3 (Due Friday) – Must complete at least 2 problems in class as an exit ticket

Homework Complete worksheets 6.2 and 6.3 (Due Friday) Quiz on Friday on Complex Number Operations and Solving Simple Quadratic Equations

LESSON 2 DAY 1 – 02/11/16 MULTIPLY/DIVIDE COMPLEX NUMBERS OBJECTIVE: SWBAT MULTIPLY AND DIVIDE COMPLEX NUMBERS USING THE COMPLEX CONJUGATE

When are these numbers useful?

Types and Number of Solutions to Quadratic Equations

Multiplying Complex Numbers Real Part Imaginary Part

Tests Returned, Let’s talk…

Homework due Friday Complete worksheets 6.2 and 6.3 Quiz on Friday on Complex Number Operations and Solving Simple Quadratic Equations

LESSON 2 DAY 2 – 02/12/16 MULTIPLY/DIVIDE COMPLEX NUMBERS OBJECTIVE: SWBAT MULTIPLY AND DIVIDE COMPLEX NUMBERS USING THE COMPLEX CONJUGATE

HW Questions?

Quiz time! Clear your desks

Multiplying Complex Numbers Real Part Imaginary Part

Dividing Complex Numbers

Homework due Monday Complete worksheet 6.4 (ALL problems) Read pages in your textbook and fill out the Guided Notes Packet

LESSON 3 DAY 1 – 02/15/16 GRAPH/ABSOLUTE VALUE OF COMPLEX NUMBERS OBJECTIVE: SWBAT GRAPH AND FIND THE ABSOLUTE VALUE OF COMPLEX NUMBERS

Warmup

Graphing a Complex Number

Absolute Value of a Complex Number

Homework Complete worksheet 6.5 (ALL problems) Test Friday on Complex Numbers!

LESSON 3 DAY 2 – 02/16/16 GRAPH/ABSOLUTE VALUE OF COMPLEX NUMBERS OBJECTIVE: SWBAT GRAPH AND FIND THE ABSOLUTE VALUE OF COMPLEX NUMBERS

Warmup

Tic-Tac-Toe!

Homework – Due Friday 1. Worksheet 6.5 (ALL) 2. Complete the Practice Test – DON’T WRITE ON IT! Check your answers to the practice test and correct your mistakes. On Friday, you will turn in your original answers to the practice test along with all corrections and re-tries that you completed.

LESSON 4 DAY 1 – 02/18/16 REVIEW OF COMPLEX NUMBERS OBJECTIVE: SWBAT SIMPLIFY EXPRESSIONS USING COMPLEX NUMBERS

Test topics – Friday, February 19 th

Quizzes Back and Review

Review! Jeopardy!

Final Jeopardy Round – bid up to1000 points for each

Homework – Due Friday 1. Worksheet 6.5 (ALL) 2. Complete the Practice Test – DON’T WRITE ON IT! Check your answers to the practice test and correct your mistakes. On Friday, you will turn in your original answers to the practice test along with all corrections and re-tries that you completed.

LESSON 4 DAY 2 – 02/19/16 REVIEW OF COMPLEX NUMBERS OBJECTIVE: SWBAT SIMPLIFY EXPRESSIONS USING COMPLEX NUMBERS

TEST TIME! Clear your desks! Turn your homework in to the tray (worksheet 6.5 and practice test attempts)

Homework Review of Graphing Functions Worksheet – ALL Problems – create a table of at least 9 values and graph the function.